Problem $17\mathrm{.}112$

The circular concrete culvert rolls with an angular velocity of $=0\mathrm{.}56$

$ra\frac{d}{s}$ when the man is at the position shown. At this instant the center

of gravity of the culvert and the man is located at point $G,$ and the

radius of gyration about $G$ is $k_G=3\mathrm{.}2ft.$

$($Figure $1)$

Figure

Part A

Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is $500$ lb $.$ Assume that the culvert rolls without slipping, and the me

does not move within the culvert.

Express your answer to three significant figures and include the appropriate units.